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Finding the Fourth Proportional to 288,039.87, 397,384.16 and 180,422.55

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Solution

The fourth proportional to 288,039.87, 397,384.16 and 180,422.55 is: 248,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,039.87 : 397,384.16 = 180,422.55 : x
  2. Step 2: Convert to fraction form
    288,039.87/397,384.16 = 180,422.55/x
  3. Step 3: Cross multiply
    288,039.87x = 397,384.16 × 180,422.55
  4. Step 4: Simplify right side
    288,039.87x = 71,697,062,574.70
  5. Step 5: Solve for x
    x = 71,697,062,574.70/288,039.87
  6. Step 6: Final answer
    x = 248,913.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.